Geodesic
Kazhdan Constants and Matrix Coefficients of Sp(n, R)
Journal of Lie theory, Tome 13 (2003) no. 1, pp. 133-154
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An infinitesimal Kazhdan constant of  Sp(2, R)  is computed. The methods used to prove this can also be employed to determine a quantitative estimate of the asymptotics of the matrix coefficients of  Sp(n, R)  in an elementary manner. An application of the result gives explicit Kazhdan constants for  Sp(n, R) , n ≥ 2. 
@article{JLT_2003_13_1_JLT_2003_13_1_a7,
     author = {M. Neuhauser},
     title = {Kazhdan {Constants} and {Matrix} {Coefficients} of {Sp(n,} {R)}},
     journal = {Journal of Lie theory},
     pages = {133--154},
     year = {2003},
     volume = {13},
     number = {1},
     url = {http://geodesic.mathdoc.fr/item/JLT_2003_13_1_JLT_2003_13_1_a7/}
}
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M. Neuhauser. Kazhdan Constants and Matrix Coefficients of Sp(n, R). Journal of Lie theory, Tome 13 (2003) no. 1, pp. 133-154. http://geodesic.mathdoc.fr/item/JLT_2003_13_1_JLT_2003_13_1_a7/